Most televised baseball games display a pitch tracker that shows whether the pitch was in the strike zone, which in turn shows whether the umpire made the correct call. Major League Baseball keeps track of how well each umpire calls games. Batters swing at approximately 47% of all pitches. As a result umpires need to make calls on the other 53%. The best umpires get 10% of their calls wrong and the worst get 15% wrong. Suppose that in an average game the best umpire makes calls on 150 pitches. If we assume that the calls in a game are random, what is the probability that he gets less than 8% wrong?